An appliance company determines that in order to sell x dishwashers, the price per dishwasher must be p = 420 - 0.3x. It also determines that the total cost of producing x dishwashers is given by C(x) = 5000 + 0.3x2. How many dishwashers must the company produce and sell in order to maximize profit? g

The number of dishwasher to produce is  

Step-by-step explanation:

From the question we are told that

     The price per dishwasher is  

     The total cost of producing x  dishwasher is  

Now at the question we can deduce that the price for x dishwasher will be  mathematically evaluated as  

Now the profit from selling the dishwasher can be mathematically represented as

substituting for  

Solving for x using the quadratic formula we have that

So the for maximum profit and reduce cost price the number of  dishwasher the company would produce is  

about 168 miles

step-by-step explanation: